Exotic Bohmian arrival times of spin-1/2 particles: An analytical treatment

Das, Siddhant; Noeth, Markus und Duerr, Detlef (2019): Exotic Bohmian arrival times of spin-1/2 particles: An analytical treatment. In: Physical Review A, Bd. 99, Nr. 5, 052124

Abstract

It is well known that orthodox quantum mechanics does not make unambiguous predictions for the statistics in arrival time (or time-of-flight) experiments. Bohmian mechanics (or de Broglie-Bohm theory) offers a distinct conceptual advantage in this regard, owing to the well-defined concepts of point particles and trajectories embedded in this theory. We revisit a recently proposed experiment [S. Das and D. Durr, Sci. Rep. 9, 2242 (2019)], the numerical analysis of which revealed a striking spin dependence in the (Bohmian) time-of-arrival distributions of a spin-1/2 particle. We present here a mathematically tractable variant of the same experiment, where the predicted effects can be established rigorously. We also obtain some results that can be compared with experiment.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik ; Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik ; 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 2469-9926
• Sprache: Englisch